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22 Sep 2015: f(t) dt. (iii) If a c b, b. a. f(t) dt+. ... log(xa)b = b log xa = ba log x = ab log x = log xab,.

7 Aug 2015: Proof. Write xb := σ(x)(b) and bx := bx for all x L and b B. ... bx,b′x′] := bb′[x,x′] b′(x′ b)x b(x b′)x′. for all b,b′ B and x,x′ L.

11 Sep 2015: for some a,b K. The discriminant condition is 2b(a2 4b) 6= 0. ... We have div(f/x. 21) = 2b and div(f. †/x21) = 2b† with b b†.

10 Mar 2015: Each vertex w is joined to thevertices wb for each letter b B. ... B(b,r) = {v {0, 1}N : d(b,v) < r}. Its volume is the number of points that it contains:.

10 Dec 2015: Having defined the standardapartment, the building B = B(Un,F) is the unique Un-set up to isomorphism satisfying the followingconditions (see [Tit79, 2.1]):. • ... b) The exponents of the Jacquet modules of these representations are as follows.